Dan Lascu

collaborators

Showing math.NTShow all

2 papers · 1 filter

math.NT2026

Sharp Hausdorff Dimension Bounds for Sets with Bounded and Growing Digits in $N$ -expansions

Andreea Catalina Chitu, Gabriela Ileana Sebe, Dan Lascu

We establish sharp bounds for the Hausdorff dimension of sets of irrational numbers in $(0, 1)$ whose digits in the $N$ -expansion are either uniformly bounded or tend to infinity. F…

math.NT2026

Limit Theorems for $I^¸$ -expansions and the Failure of the Strong Law

Andreas Rusu, Gabriela Ileana Sebe, Dan Lascu

The paper presents fundamental metrical theorems for a class of continued fraction-like expansions known as $I^¸$ -expansions. We first prove Khinchine's Weak Law of Large Numbers fo…

Sharp Hausdorff Dimension Bounds for Sets with Bounded and Growing Digits in N-expansions

Limit Theorems for I^¸-expansions and the Failure of the Strong Law

Sharp Hausdorff Dimension Bounds for Sets with Bounded and Growing Digits in $N$ -expansions

Limit Theorems for $I^¸$ -expansions and the Failure of the Strong Law